Sketch the region bounded by the graphs of the equations (include representative rectangle) and find the area of the region.

Q: Determine the area of the given region under the curve.

A: see the attached file for a detailed solution.

Q: Sketch the region bounded by the curves 4x2 + y = 28 and x* – y = 4, then find the area of the…

A: Area between curves

Q: Sketch the region bounded by the graphs of the equations and find the area of the region.

A: given,

Q: Find the area of the region enclosed by x + y = 2 and x + y = 0

A:

Q: Find the area of the region enclosed by the graphs of y^2=x+9 and y^2=9-x

A:

Q: Sketch and shade the region enclosed by y = x² – 2x and y = 3x, draw a representative rectangle,…

A:

Q: Sketch the region bounded by the curves and find the area of that region.

A:

Q: Find the area of the region bounded by the graph of y=-3x+6and y axis.

A:

Q: Sketch the region enclosed by y = 3x and y = 6x. Find the area of the region.

A:

Q: Sketch the region enclosed by y = 4x and Y = 4x. Find the area of the region.

A:

Q: Find the area of the region bounded by the graphs of the equations: x = 4 – y? x = y – 2

A:

Q: Sketch the region enclosed by y 5x and y = 5x. Find the area of the region.

A:

Q: Sketch the region enclosed by Y 6x and y = 9x". Find the area of the region.

A:

Q: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and x /1 – 4x²' NOTE: Enter…

A: First set the integral for area and the using rule of integration solved it.Final solution is in the…

Q: Sketch the region and find the area of the region bounded by y = -x2 + 9 and the x-axis.

A:

Q: By sketching the graphs, find the area of the region bounded by, x = /y,y x + 6 and x = 0

A:

Q: Determine the area of the region bounded by y = 4x + 3, y = 6 –- x - 2x2, x = -4 and x = 2. Sketch…

A: Given:- y = 6-x-2x2 , y=4x+3 , x=-4 , x=2  To find:- Area of region bounded by given curves

Q: Sketch and shade the region enclosed by y = x² – 2x and y a representative rectangle, then calculate…

A: We will solve the problem.

Q: Sketch the region enclosed by the curves y=x+2, y=25-x^2, x=-2, and x=2. Find the area of the…

A:

Q: Find the area of the region enclosed by these graphs and the vertical lines x = 0 and x = 3. square…

A: The given function is, fx=-x2+2x+4 and gx=-x+4 To sketch the function. To find the area of the…

Q: Sketch the region enclosed by y = 7x and y = 4x2. Find the area of the region

A:

Q: Sketch the region enclosed by y = 5x and y = 6x². Find the area of the region.

A:

Q: Sketch the region enclosed by y = 3x and y = 6x°. Find the area of the region.

A:

Q: 2. Sketch the region and find the area of the region bounded by y = -x? + 9 and the x-axis.

A: The region is bounded by the curve y=-x2+9=-(x-0)2+9 and the x-axis.

Q: Find the area of the region enclosed by these graphs and the vertical lines x = 1 and x = 4. X…

A:

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

A:

Q: y = 4x,_y = 4x – 2

A:

Q: y = xe¯,y = x + 1, x = 2, and the y-axis.

A: lets plot the graph of the given functions

Q: Determine the area of the given region. The region bounded by y = 6 - 3x2 and y = 6x - 3

A: The given curves are y=6-3x2  and  y=6x-3. Sketch the region bounded by the above curves as shown…

Q: Sketch the region enclosed by y 6x and y = 2x2. Find the area of the region.

A: The graph is given below

Q: Find the area of the region bounded by the graphs of the given equations. 4

A:

Q: Find the area of the region enclosed by the graphs of 1 1 1 – 16æ²' Y = 0, x = 0, and æ NOTE: Enter…

A:

Q: etch the region enclosed by the curves and find its area

A: Here we have to sketch the region enclosed by the curve y=|x-2| and x-5y+10=0.  The required region…

Q: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and x = 8. || /1 – 16x²…

A:

Q: Sketch the region enclosed by y = 4x and y = 8x². Find the area of the region.

A:

Q: Find the area of the region bounded by the graphs of the equations. у 3 7x2 + 5, х %3D 0, х%3D 2, у…

A:

Q: . Find the area of the region enclosed by the graphs of x = y^2 and y = x − 2

A: As per our guidelines we are supposed to answer only one question.  Kindly repost other question as…

Q: Sketch the graph of the region enclosed by y = 4 – x² and y = -x+2 and calculate its area.

A: From the given curve bounded region is shown below:     Now finding the point of intersection:…

Q: Find the area of the region enclosed by the graphs of x = |y| and x = 14-|y|.   Area=

A: First draw the graph of x = |y| and x = 14-|y|. Then find the area enclosed between them

Q: Sketch the graphs, shade the bounded region and find the area bounded by the given…

A:

Q: Sketch the region enclosed by y 6x and 4x. Find the area of the region.

A:

Q: Find the area of the region enclosed by these graphs and the vertical lines x = -1 and x = 0. |…

A:

Q: Sketch the region enclosed by y 4x and y = 2x2. Find the area of the region.

A:

Q: Sketch the region

A:

Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = y =…

A: To sketch and find the area of the region bounded by the below equations. y=1x2y=0x=1x=5

Q: Sketch the region enclosed by y 4x and y 9x2. Find the areą of the region. =

A: l

Q: Sketch the region bounded by the given curves, then find the area of the region. 25 y = 23. y = x =…

A: Formula:    Area=∫abf(x)-g(x)dx We have, f(x)=25x3, g(x)=5x2, a=2, b=12

Q: Sketch the region bounded by the

A:

Q: Find the area of the region enclosed by the graphs of x =y and x 3y

A: This area is enclosed by the two curves,  y = x2  y = 3x  Thus, we can find the area by sketching…

Q: Find the area of the region. f(x) = 25 – x2 %3D

A: